MULTICONFIGURATION HARTREE–FOCK THEORY FOR PSEUDORELATIVISTIC SYSTEMS: THE TIME-DEPENDENT CASE

DOI10.1142/S0218202513500619zbMath1291.35256OpenAlexW1995999872MaRDI QIDQ5411768

Hichem Hajaiej, Saber Trabelsi, Peter Alexander Markowich

Publication date: 25 April 2014

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218202513500619

zbMATH Keywords

Cauchy problemwell-posednessdensity matrixHartree-FockmulticonfigurationHartreesemi-relativistic

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Seismology (including tsunami modeling), earthquakes (86A15) PDEs in connection with quantum mechanics (35Q40) Atomic physics (81V45) Time-dependent Schrödinger equations and Dirac equations (35Q41) Initial value problems for PDEs and systems of PDEs with constant coefficients (35E15)

Related Items (5)

Well-posedness of a higher-order Schrödinger-Poisson-Slater system ⋮ Normalized ground states for the critical fractional Choquard equation with a local perturbation ⋮ On fractional Schrödinger equations with Hartree type nonlinearities ⋮ On some qualitative aspects for doubly nonlocal equations ⋮ Orbital stability of standing waves of a class of fractional Schrödinger equations with Hartree-type nonlinearity

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